{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XXLFJLPSRO44TZOLTM3H5HYSWP","short_pith_number":"pith:XXLFJLPS","schema_version":"1.0","canonical_sha256":"bdd654adf28bb9c9e5cb9b367e9f12b3fef5977c40ae00686438bab47c9917f6","source":{"kind":"arxiv","id":"1110.1149","version":2},"attestation_state":"computed","paper":{"title":"A class of singular Fourier integral operators in synthetic aperture radar imaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"C. Nolan, E. T. Quinto, G. Ambartsoumian, R. Felea, V. P. Krishnan","submitted_at":"2011-10-06T03:42:03Z","abstract_excerpt":"In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the normal operator $F^{*}F$ (where $F^{*}$ is the $L^{2}$ adjoint of $F$) which arises in Synthetic Aperture Radar imaging for the common midpoint acquisition geometry. When $F^{*}$ is applied to the scattered data, artifacts appear. We show that $F^{*}F$ can be decomposed as a sum of four operators, each belonging to a class of distributions associated to two cleanly intersecting Lagrangians, $I^{p,l} (\\Lambda_0, \\Lambda_1)$, thereby explaining the latter artifacts."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1110.1149","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-06T03:42:03Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"05fac2d9615375b1d0b289544336f42d492356be2be0d3a51e1ac89114878fa5","abstract_canon_sha256":"d45a9ee5d2353ba2c855baf02a64a47d82110497453d14b4cdaf7c9cf067ca7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:30.242419Z","signature_b64":"jBKiRb8F+SUrB2hUqi+t6sxTMy8TU/xZyNckbxEZWwk6JKT/vgfORXj1xw7i5X/APtirHVGYmZrB7wNmbH4gDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdd654adf28bb9c9e5cb9b367e9f12b3fef5977c40ae00686438bab47c9917f6","last_reissued_at":"2026-05-18T04:11:30.241906Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:30.241906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A class of singular Fourier integral operators in synthetic aperture radar imaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"C. Nolan, E. T. Quinto, G. Ambartsoumian, R. Felea, V. P. Krishnan","submitted_at":"2011-10-06T03:42:03Z","abstract_excerpt":"In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the normal operator $F^{*}F$ (where $F^{*}$ is the $L^{2}$ adjoint of $F$) which arises in Synthetic Aperture Radar imaging for the common midpoint acquisition geometry. When $F^{*}$ is applied to the scattered data, artifacts appear. We show that $F^{*}F$ can be decomposed as a sum of four operators, each belonging to a class of distributions associated to two cleanly intersecting Lagrangians, $I^{p,l} (\\Lambda_0, \\Lambda_1)$, thereby explaining the latter artifacts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1149","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.1149","created_at":"2026-05-18T04:11:30.241977+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.1149v2","created_at":"2026-05-18T04:11:30.241977+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1149","created_at":"2026-05-18T04:11:30.241977+00:00"},{"alias_kind":"pith_short_12","alias_value":"XXLFJLPSRO44","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"XXLFJLPSRO44TZOL","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"XXLFJLPS","created_at":"2026-05-18T12:26:47.523578+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP","json":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP.json","graph_json":"https://pith.science/api/pith-number/XXLFJLPSRO44TZOLTM3H5HYSWP/graph.json","events_json":"https://pith.science/api/pith-number/XXLFJLPSRO44TZOLTM3H5HYSWP/events.json","paper":"https://pith.science/paper/XXLFJLPS"},"agent_actions":{"view_html":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP","download_json":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP.json","view_paper":"https://pith.science/paper/XXLFJLPS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.1149&json=true","fetch_graph":"https://pith.science/api/pith-number/XXLFJLPSRO44TZOLTM3H5HYSWP/graph.json","fetch_events":"https://pith.science/api/pith-number/XXLFJLPSRO44TZOLTM3H5HYSWP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP/action/storage_attestation","attest_author":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP/action/author_attestation","sign_citation":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP/action/citation_signature","submit_replication":"https://pith.science/pith/XXLFJLPSRO44TZOLTM3H5HYSWP/action/replication_record"}},"created_at":"2026-05-18T04:11:30.241977+00:00","updated_at":"2026-05-18T04:11:30.241977+00:00"}